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Simplifying 5x + 2(x + -3) = 8x + 10 Reorder the terms: 5x + 2(-3 + x) = 8x + 10 5x + (-3 * 2 + x * 2) = 8x + 10 5x + (-6 + 2x) = 8x + 10 Reorder the terms: -6 + 5x + 2x = 8x + 10 Combine like terms: 5x + 2x = 7x -6 + 7x = 8x + 10 Reorder the terms: -6 + 7x = 10 + 8x Solving -6 + 7x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 7x + -8x = 10 + 8x + -8x Combine like terms: 7x + -8x = -1x -6 + -1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -1x = 10 + 0 -6 + -1x = 10 Add '6' to each side of the equation. -6 + 6 + -1x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 10 + 6 -1x = 10 + 6 Combine like terms: 10 + 6 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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